The roots of the equation 12 x 2- bx -5-0 will be in the ratio 3- 2- if -b- equals-A- 1-12B- 5-12C- 5 -10D- 5-12-10

The correct option is C 5 √(10)Option (c) is the correct answer. Check the video for the approach. ...

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Quadratic Equations

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Question

The roots of the equation $12 x^{2} + b x + 5 = 0$ will be in the ratio 3 : 2, if "b" equals:

\frac{1}{12}

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\frac{5}{12}

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5 \sqrt{10}

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\frac{5}{12} \sqrt{10}

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Solution

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12 x^{2} + m x + 5 = 0

3 : 2

m =

12 x^{2} - m x + 5 = 0

12 x^{2} + m x + 5 - 0

a : b = 1 : 6, a \neq 0, b \neq 0

a x^{2} + b x + 5 a = 0

4 x^{2} + b x + 5 = 0

3

b

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